Influence of some speed parameters on the dynamics of nonlinear flexural vibrations of a drill column

摘要

We investigate the influence of the motion of fluid flushing the cutter of a well drilling column, and the angular rotational velocity upon dynamic characteristics of itsflexural vibrations. We take into account the nonlinear elastic features of column material. As a base of the research we took the Galerkin method and the Van der Pol method. Combining those two methods made possible to obtain the relationsdescribing the main parameters of the dynamical process in both nonresonance and resonance case.